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Finding the Third Proportional to 180,512 and 264,610

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Solution

The third proportional to 180,512 and 264,610 is: 387,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,512 : 264,610 = 264,610 : x
  2. Step 2: Convert to fraction form
    180,512/264,610 = 264,610/x
  3. Step 3: Cross multiply
    180,512x = 264,610 × 264,610
  4. Step 4: Simplify right side
    180,512x = 70,018,452,100
  5. Step 5: Solve for x
    x = 70,018,452,100/180,512
  6. Step 6: Final answer
    x = 387,888.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.